103296384 has 160 divisors (see below), whose sum is σ = 316202040. Its totient is φ = 33592320.

The previous prime is 103296383. The next prime is 103296421. The reversal of 103296384 is 483692301.

103296384 is a `hidden beast` number, since 10 + 3 + 2 + 9 + 638 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103296383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519404 + ... + 2519444.

Almost surely, 2^103296384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158101020).

103296384 is an abundant number, since it is smaller than the sum of its proper divisors (212905656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103296384 is an frugal number, since it uses more digits than its factorization.

103296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 103296384 is about 10163.4828676001. The cubic root of 103296384 is about 469.2040004630.

103296384 divided by its product of nonzero digits (31104) gives a triangular number (3321 = T₈₁).

The spelling of 103296384 in words is "one hundred three million, two hundred ninety-six thousand, three hundred eighty-four".